Bruce Damer's Digibarn Computer Museum in Scotts Valley CA has been looking for someone to take over its collection since Bruce has redirected his personal research effort into AI from digital computer history.
Of course there is also the Computer History Museum in Mountain View, CA.
Wikipedia has a list of computer museums.
The Compuseum in Philadelphia is the latest new museum. (https://thecompuseum.org). It is the brainchild of James Scherrer who has done an amazing job collecting resources and support. Philadelphia is the original home of ENIAC (John Mauchly and J. Presper Eckert, Jr.).
And a word of caution. Real vintage machines are made from parts no longer manufactured, consume large amounts of power, are often water cooled, and need a large amount of physical space. They date from a time when the resource (compute cycles, storage) was so precious that having a staff of hardware engineers to keep the hardware working could be justified. On the software side, most systems were unique, non-standard, and supported by a team of five or more systems programmers. Economics forced a "small is beautiful" style on everything: those gifted programmers who could solve big problems with small speedy programs were in great demand.